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Finding the Fourth Proportional to 325.24, 488.10 and 261.88

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Solution

The fourth proportional to 325.24, 488.10 and 261.88 is: 393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 488.10 = 261.88 : x
  2. Step 2: Convert to fraction form
    325.24/488.10 = 261.88/x
  3. Step 3: Cross multiply
    325.24x = 488.10 × 261.88
  4. Step 4: Simplify right side
    325.24x = 127,823.63
  5. Step 5: Solve for x
    x = 127,823.63/325.24
  6. Step 6: Final answer
    x = 393.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.